TSTP Solution File: KRS178+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 03:30:49 EDT 2022

% Result   : Theorem 0.20s 0.46s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   1 nHn;   6 RR)
%            Number of literals    :    8 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ~ isa(skc20,skc20),
    file('KRS178+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( isa(u,v)
    | status__dfg(skf13(v,u),skf12(v,u),u) ),
    file('KRS178+1.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ status__dfg(skf13(u,v),skf12(u,v),u)
    | isa(w,u) ),
    file('KRS178+1.p',unknown),
    [] ).

cnf(39,plain,
    status__dfg(skf13(skc20,skc20),skf12(skc20,skc20),skc20),
    inference(res,[status(thm),theory(equality)],[23,9]),
    [iquote('0:Res:23.1,9.0')] ).

cnf(40,plain,
    ~ status__dfg(skf13(skc20,u),skf12(skc20,u),skc20),
    inference(res,[status(thm),theory(equality)],[28,9]),
    [iquote('0:Res:28.1,9.0')] ).

cnf(41,plain,
    $false,
    inference(unc,[status(thm)],[40,39]),
    [iquote('0:UnC:40.0,39.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS178+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun  7 17:21:16 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  
% 0.20/0.46  SPASS V 3.9 
% 0.20/0.46  SPASS beiseite: Proof found.
% 0.20/0.46  % SZS status Theorem
% 0.20/0.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.46  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 40 clauses.
% 0.20/0.46  SPASS allocated 85698 KBytes.
% 0.20/0.46  SPASS spent	0:00:00.11 on the problem.
% 0.20/0.46  		0:00:00.04 for the input.
% 0.20/0.46  		0:00:00.05 for the FLOTTER CNF translation.
% 0.20/0.46  		0:00:00.00 for inferences.
% 0.20/0.46  		0:00:00.00 for the backtracking.
% 0.20/0.46  		0:00:00.00 for the reduction.
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  Here is a proof with depth 1, length 6 :
% 0.20/0.46  % SZS output start Refutation
% See solution above
% 0.20/0.46  Formulae used in the proof : isa_reflexive isa
% 0.20/0.46  
%------------------------------------------------------------------------------